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一类高阶次随机非线性系统的状态反馈镇定
引用本文:秦孝艳.一类高阶次随机非线性系统的状态反馈镇定[J].安徽大学学报(自然科学版),2012(4):7-12.
作者姓名:秦孝艳
作者单位:枣庄学院数学与信息科学系
基金项目:国家自然科学基金资助项目(60774010,10971256)
摘    要:研究一类高阶随机非线性系统状态反馈镇定问题.结合反推技术和加权积分技术,通过适当地选取Lyapunov函数和设计参数,给出了一个自适应状态反馈控制器的设计过程.所设计的控制器保证了闭环系统是依概率全局稳定的.

关 键 词:高阶随机非线性系统  自适应状态反馈  反推  依概率全局稳定

State-feedback stabilization for a class of high-order stochastic nonlinear systems
QIN Xiao-yan.State-feedback stabilization for a class of high-order stochastic nonlinear systems[J].Journal of Anhui University(Natural Sciences),2012(4):7-12.
Authors:QIN Xiao-yan
Institution:QIN Xiao-yan(Department of Mathematics and Information Science,Zaozhuang University,Zaozhuang 277160,China)
Abstract:For a class of high-order stochastic nonlinear systems,the problem of state-feedback stabilization was studied by combing adding one power integrator scheme with backstepping scheme,choosing appropriately Lyapunov function and designed parameters,and the procedure of adaptive state feedback controller was given to guarantee that the closed-loop systems were globally stable in probability.
Keywords:high-order stochastic nonlinear systems  adaptive state feedback  backstepping  globally stable in probability
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